已知U(X,Y)=X^1/4.Y^3/4
Px=2, Py=6, M=1600
求消費者均衡
請示範算法和原理喔 感激不盡

已知U(X,Y)=X^1/4.Y^3/4
Px=2, Py=6, M=1600
求消費者均衡
請示範算法和原理喔 感激不盡

--> MUx = dU/dX = 1/4‧X^(1/4-1)‧Y^3/4 = 1/4‧X^(-3/4)‧Y^(3/4)
  MUy = dU/dY = 3/4‧X^1/4‧Y^(3/4-1) = 3/4‧X^1/4‧Y^(-1/4)
  均衡條件 ==>MUx / Px = MUy / Py ==> X = Y   .....(1)
                Px‧X+Py‧Y=M ==>2‧X+6‧Y=1600 .....(2)
  將(1)代入(2) ==> Y = 200、X=200

應該是這樣吧...